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Finding the Third Proportional to 339,593,904,612 and 726,892,682,760

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Solution

The third proportional to 339,593,904,612 and 726,892,682,760 is: 1,555,896,513,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,593,904,612 : 726,892,682,760 = 726,892,682,760 : x
  2. Step 2: Convert to fraction form
    339,593,904,612/726,892,682,760 = 726,892,682,760/x
  3. Step 3: Cross multiply
    339,593,904,612x = 726,892,682,760 × 726,892,682,760
  4. Step 4: Simplify right side
    339,593,904,612x = 528,372,972,250,030,028,095,488
  5. Step 5: Solve for x
    x = 528,372,972,250,030,028,095,488/339,593,904,612
  6. Step 6: Final answer
    x = 1,555,896,513,671.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.